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Finding the Fourth Proportional to 8,970.74, 12,373.86 and 5,788.10

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Solution

The fourth proportional to 8,970.74, 12,373.86 and 5,788.10 is: 7,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.74 : 12,373.86 = 5,788.10 : x
  2. Step 2: Convert to fraction form
    8,970.74/12,373.86 = 5,788.10/x
  3. Step 3: Cross multiply
    8,970.74x = 12,373.86 × 5,788.10
  4. Step 4: Simplify right side
    8,970.74x = 71,621,139.07
  5. Step 5: Solve for x
    x = 71,621,139.07/8,970.74
  6. Step 6: Final answer
    x = 7,983.86

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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.