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Finding the Fourth Proportional to 10,970.34, 16,491.15 and 8,802.78

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Solution

The fourth proportional to 10,970.34, 16,491.15 and 8,802.78 is: 13,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.34 : 16,491.15 = 8,802.78 : x
  2. Step 2: Convert to fraction form
    10,970.34/16,491.15 = 8,802.78/x
  3. Step 3: Cross multiply
    10,970.34x = 16,491.15 × 8,802.78
  4. Step 4: Simplify right side
    10,970.34x = 145,167,965.40
  5. Step 5: Solve for x
    x = 145,167,965.40/10,970.34
  6. Step 6: Final answer
    x = 13,232.77

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