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Finding the Fourth Proportional to 12,607.50, 18,909.55 and 5,210.93

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Solution

The fourth proportional to 12,607.50, 18,909.55 and 5,210.93 is: 7,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.50 : 18,909.55 = 5,210.93 : x
  2. Step 2: Convert to fraction form
    12,607.50/18,909.55 = 5,210.93/x
  3. Step 3: Cross multiply
    12,607.50x = 18,909.55 × 5,210.93
  4. Step 4: Simplify right side
    12,607.50x = 98,536,395.17
  5. Step 5: Solve for x
    x = 98,536,395.17/12,607.50
  6. Step 6: Final answer
    x = 7,815.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.