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Finding the Fourth Proportional to 7,597.32, 11,398.32 and 3,902.10

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Solution

The fourth proportional to 7,597.32, 11,398.32 and 3,902.10 is: 5,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.32 : 11,398.32 = 3,902.10 : x
  2. Step 2: Convert to fraction form
    7,597.32/11,398.32 = 3,902.10/x
  3. Step 3: Cross multiply
    7,597.32x = 11,398.32 × 3,902.10
  4. Step 4: Simplify right side
    7,597.32x = 44,477,384.47
  5. Step 5: Solve for x
    x = 44,477,384.47/7,597.32
  6. Step 6: Final answer
    x = 5,854.35

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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.