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Finding the Fourth Proportional to 10,491.77, 14,478.58 and 5,775.77

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Solution

The fourth proportional to 10,491.77, 14,478.58 and 5,775.77 is: 7,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.77 : 14,478.58 = 5,775.77 : x
  2. Step 2: Convert to fraction form
    10,491.77/14,478.58 = 5,775.77/x
  3. Step 3: Cross multiply
    10,491.77x = 14,478.58 × 5,775.77
  4. Step 4: Simplify right side
    10,491.77x = 83,624,948.01
  5. Step 5: Solve for x
    x = 83,624,948.01/10,491.77
  6. Step 6: Final answer
    x = 7,970.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.