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Finding the Fourth Proportional to 10,547.52, 15,816.32 and 6,166.32

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Solution

The fourth proportional to 10,547.52, 15,816.32 and 6,166.32 is: 9,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.52 : 15,816.32 = 6,166.32 : x
  2. Step 2: Convert to fraction form
    10,547.52/15,816.32 = 6,166.32/x
  3. Step 3: Cross multiply
    10,547.52x = 15,816.32 × 6,166.32
  4. Step 4: Simplify right side
    10,547.52x = 97,528,490.34
  5. Step 5: Solve for x
    x = 97,528,490.34/10,547.52
  6. Step 6: Final answer
    x = 9,246.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.