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Finding the Fourth Proportional to 10,539.54, 14,547.60 and 6,957.12

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Solution

The fourth proportional to 10,539.54, 14,547.60 and 6,957.12 is: 9,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.54 : 14,547.60 = 6,957.12 : x
  2. Step 2: Convert to fraction form
    10,539.54/14,547.60 = 6,957.12/x
  3. Step 3: Cross multiply
    10,539.54x = 14,547.60 × 6,957.12
  4. Step 4: Simplify right side
    10,539.54x = 101,209,326.17
  5. Step 5: Solve for x
    x = 101,209,326.17/10,539.54
  6. Step 6: Final answer
    x = 9,602.82

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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.