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Finding the Fourth Proportional to 7,634.76, 10,532.16 and 6,585

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Solution

The fourth proportional to 7,634.76, 10,532.16 and 6,585 is: 9,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.76 : 10,532.16 = 6,585 : x
  2. Step 2: Convert to fraction form
    7,634.76/10,532.16 = 6,585/x
  3. Step 3: Cross multiply
    7,634.76x = 10,532.16 × 6,585
  4. Step 4: Simplify right side
    7,634.76x = 69,354,273.60
  5. Step 5: Solve for x
    x = 69,354,273.60/7,634.76
  6. Step 6: Final answer
    x = 9,084.01

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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.