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Finding the Fourth Proportional to 10,788, 14,887.80 and 6,595.44

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Solution

The fourth proportional to 10,788, 14,887.80 and 6,595.44 is: 9,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788 : 14,887.80 = 6,595.44 : x
  2. Step 2: Convert to fraction form
    10,788/14,887.80 = 6,595.44/x
  3. Step 3: Cross multiply
    10,788x = 14,887.80 × 6,595.44
  4. Step 4: Simplify right side
    10,788x = 98,191,591.63
  5. Step 5: Solve for x
    x = 98,191,591.63/10,788
  6. Step 6: Final answer
    x = 9,101.93

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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.