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Finding the Fourth Proportional to 7,497.40, 11,246.10 and 2,565.40

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Solution

The fourth proportional to 7,497.40, 11,246.10 and 2,565.40 is: 3,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.40 : 11,246.10 = 2,565.40 : x
  2. Step 2: Convert to fraction form
    7,497.40/11,246.10 = 2,565.40/x
  3. Step 3: Cross multiply
    7,497.40x = 11,246.10 × 2,565.40
  4. Step 4: Simplify right side
    7,497.40x = 28,850,744.94
  5. Step 5: Solve for x
    x = 28,850,744.94/7,497.40
  6. Step 6: Final answer
    x = 3,848.10

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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.