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Finding the Fourth Proportional to 10,484.36, 14,468.29 and 7,807.55

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Solution

The fourth proportional to 10,484.36, 14,468.29 and 7,807.55 is: 10,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.36 : 14,468.29 = 7,807.55 : x
  2. Step 2: Convert to fraction form
    10,484.36/14,468.29 = 7,807.55/x
  3. Step 3: Cross multiply
    10,484.36x = 14,468.29 × 7,807.55
  4. Step 4: Simplify right side
    10,484.36x = 112,961,858.55
  5. Step 5: Solve for x
    x = 112,961,858.55/10,484.36
  6. Step 6: Final answer
    x = 10,774.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.