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Finding the Fourth Proportional to 8,547.70, 12,822.15 and 4,851.70

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Solution

The fourth proportional to 8,547.70, 12,822.15 and 4,851.70 is: 7,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.70 : 12,822.15 = 4,851.70 : x
  2. Step 2: Convert to fraction form
    8,547.70/12,822.15 = 4,851.70/x
  3. Step 3: Cross multiply
    8,547.70x = 12,822.15 × 4,851.70
  4. Step 4: Simplify right side
    8,547.70x = 62,209,225.16
  5. Step 5: Solve for x
    x = 62,209,225.16/8,547.70
  6. Step 6: Final answer
    x = 7,277.89

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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.