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Finding the Fourth Proportional to 7,587.64, 10,454.70 and 5,099.32

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Solution

The fourth proportional to 7,587.64, 10,454.70 and 5,099.32 is: 7,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.64 : 10,454.70 = 5,099.32 : x
  2. Step 2: Convert to fraction form
    7,587.64/10,454.70 = 5,099.32/x
  3. Step 3: Cross multiply
    7,587.64x = 10,454.70 × 5,099.32
  4. Step 4: Simplify right side
    7,587.64x = 53,311,860.80
  5. Step 5: Solve for x
    x = 53,311,860.80/7,587.64
  6. Step 6: Final answer
    x = 7,026.15

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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.