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Finding the Fourth Proportional to 7,557.58, 10,432.02 and 4,416.40

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Solution

The fourth proportional to 7,557.58, 10,432.02 and 4,416.40 is: 6,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.58 : 10,432.02 = 4,416.40 : x
  2. Step 2: Convert to fraction form
    7,557.58/10,432.02 = 4,416.40/x
  3. Step 3: Cross multiply
    7,557.58x = 10,432.02 × 4,416.40
  4. Step 4: Simplify right side
    7,557.58x = 46,071,973.13
  5. Step 5: Solve for x
    x = 46,071,973.13/7,557.58
  6. Step 6: Final answer
    x = 6,096.13

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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.