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Finding the Fourth Proportional to 10,580.16, 14,603.04 and 6,847.68

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Solution

The fourth proportional to 10,580.16, 14,603.04 and 6,847.68 is: 9,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.16 : 14,603.04 = 6,847.68 : x
  2. Step 2: Convert to fraction form
    10,580.16/14,603.04 = 6,847.68/x
  3. Step 3: Cross multiply
    10,580.16x = 14,603.04 × 6,847.68
  4. Step 4: Simplify right side
    10,580.16x = 99,996,944.95
  5. Step 5: Solve for x
    x = 99,996,944.95/10,580.16
  6. Step 6: Final answer
    x = 9,451.36

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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.