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Finding the Fourth Proportional to 8,666.40, 12,970.48 and 7,208.48

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Solution

The fourth proportional to 8,666.40, 12,970.48 and 7,208.48 is: 10,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.40 : 12,970.48 = 7,208.48 : x
  2. Step 2: Convert to fraction form
    8,666.40/12,970.48 = 7,208.48/x
  3. Step 3: Cross multiply
    8,666.40x = 12,970.48 × 7,208.48
  4. Step 4: Simplify right side
    8,666.40x = 93,497,445.67
  5. Step 5: Solve for x
    x = 93,497,445.67/8,666.40
  6. Step 6: Final answer
    x = 10,788.50

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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.