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Finding the Fourth Proportional to 10,531.32, 14,534 and 6,055.24

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Solution

The fourth proportional to 10,531.32, 14,534 and 6,055.24 is: 8,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.32 : 14,534 = 6,055.24 : x
  2. Step 2: Convert to fraction form
    10,531.32/14,534 = 6,055.24/x
  3. Step 3: Cross multiply
    10,531.32x = 14,534 × 6,055.24
  4. Step 4: Simplify right side
    10,531.32x = 88,006,858.16
  5. Step 5: Solve for x
    x = 88,006,858.16/10,531.32
  6. Step 6: Final answer
    x = 8,356.68

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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.