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Finding the Fourth Proportional to 7,281.90, 10,913.70 and 3,117

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Solution

The fourth proportional to 7,281.90, 10,913.70 and 3,117 is: 4,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.90 : 10,913.70 = 3,117 : x
  2. Step 2: Convert to fraction form
    7,281.90/10,913.70 = 3,117/x
  3. Step 3: Cross multiply
    7,281.90x = 10,913.70 × 3,117
  4. Step 4: Simplify right side
    7,281.90x = 34,018,002.90
  5. Step 5: Solve for x
    x = 34,018,002.90/7,281.90
  6. Step 6: Final answer
    x = 4,671.58

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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.