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Finding the Fourth Proportional to 7,565.40, 11,348.10 and 4,284.90

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Solution

The fourth proportional to 7,565.40, 11,348.10 and 4,284.90 is: 6,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.40 : 11,348.10 = 4,284.90 : x
  2. Step 2: Convert to fraction form
    7,565.40/11,348.10 = 4,284.90/x
  3. Step 3: Cross multiply
    7,565.40x = 11,348.10 × 4,284.90
  4. Step 4: Simplify right side
    7,565.40x = 48,625,473.69
  5. Step 5: Solve for x
    x = 48,625,473.69/7,565.40
  6. Step 6: Final answer
    x = 6,427.35

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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.