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Finding the Fourth Proportional to 10,788.32, 14,884.08 and 7,064.48

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Solution

The fourth proportional to 10,788.32, 14,884.08 and 7,064.48 is: 9,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.32 : 14,884.08 = 7,064.48 : x
  2. Step 2: Convert to fraction form
    10,788.32/14,884.08 = 7,064.48/x
  3. Step 3: Cross multiply
    10,788.32x = 14,884.08 × 7,064.48
  4. Step 4: Simplify right side
    10,788.32x = 105,148,285.48
  5. Step 5: Solve for x
    x = 105,148,285.48/10,788.32
  6. Step 6: Final answer
    x = 9,746.49

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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.