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Finding the Fourth Proportional to 6,011.60, 9,019.56 and 5,290.16

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Solution

The fourth proportional to 6,011.60, 9,019.56 and 5,290.16 is: 7,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.60 : 9,019.56 = 5,290.16 : x
  2. Step 2: Convert to fraction form
    6,011.60/9,019.56 = 5,290.16/x
  3. Step 3: Cross multiply
    6,011.60x = 9,019.56 × 5,290.16
  4. Step 4: Simplify right side
    6,011.60x = 47,714,915.53
  5. Step 5: Solve for x
    x = 47,714,915.53/6,011.60
  6. Step 6: Final answer
    x = 7,937.14

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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.