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Finding the Fourth Proportional to 8,931.12, 12,325.10 and 4,952.40

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Solution

The fourth proportional to 8,931.12, 12,325.10 and 4,952.40 is: 6,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.12 : 12,325.10 = 4,952.40 : x
  2. Step 2: Convert to fraction form
    8,931.12/12,325.10 = 4,952.40/x
  3. Step 3: Cross multiply
    8,931.12x = 12,325.10 × 4,952.40
  4. Step 4: Simplify right side
    8,931.12x = 61,038,800.48
  5. Step 5: Solve for x
    x = 61,038,800.48/8,931.12
  6. Step 6: Final answer
    x = 6,834.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.