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Finding the Fourth Proportional to 7,159.40, 10,724.68 and 4,553

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Solution

The fourth proportional to 7,159.40, 10,724.68 and 4,553 is: 6,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.40 : 10,724.68 = 4,553 : x
  2. Step 2: Convert to fraction form
    7,159.40/10,724.68 = 4,553/x
  3. Step 3: Cross multiply
    7,159.40x = 10,724.68 × 4,553
  4. Step 4: Simplify right side
    7,159.40x = 48,829,468.04
  5. Step 5: Solve for x
    x = 48,829,468.04/7,159.40
  6. Step 6: Final answer
    x = 6,820.33

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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.