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Finding the Fourth Proportional to 10,303.66, 14,218.98 and 5,587.94

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Solution

The fourth proportional to 10,303.66, 14,218.98 and 5,587.94 is: 7,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.66 : 14,218.98 = 5,587.94 : x
  2. Step 2: Convert to fraction form
    10,303.66/14,218.98 = 5,587.94/x
  3. Step 3: Cross multiply
    10,303.66x = 14,218.98 × 5,587.94
  4. Step 4: Simplify right side
    10,303.66x = 79,454,807.10
  5. Step 5: Solve for x
    x = 79,454,807.10/10,303.66
  6. Step 6: Final answer
    x = 7,711.32

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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.