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Finding the Fourth Proportional to 10,488.12, 14,474.64 and 7,830.93

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Solution

The fourth proportional to 10,488.12, 14,474.64 and 7,830.93 is: 10,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.12 : 14,474.64 = 7,830.93 : x
  2. Step 2: Convert to fraction form
    10,488.12/14,474.64 = 7,830.93/x
  3. Step 3: Cross multiply
    10,488.12x = 14,474.64 × 7,830.93
  4. Step 4: Simplify right side
    10,488.12x = 113,349,892.62
  5. Step 5: Solve for x
    x = 113,349,892.62/10,488.12
  6. Step 6: Final answer
    x = 10,807.46

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