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Finding the Fourth Proportional to 7,547.83, 11,320.50 and 2,001.52

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Solution

The fourth proportional to 7,547.83, 11,320.50 and 2,001.52 is: 3,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.83 : 11,320.50 = 2,001.52 : x
  2. Step 2: Convert to fraction form
    7,547.83/11,320.50 = 2,001.52/x
  3. Step 3: Cross multiply
    7,547.83x = 11,320.50 × 2,001.52
  4. Step 4: Simplify right side
    7,547.83x = 22,658,207.16
  5. Step 5: Solve for x
    x = 22,658,207.16/7,547.83
  6. Step 6: Final answer
    x = 3,001.95

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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.