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Finding the Fourth Proportional to 10,579.68, 14,602.82 and 6,598.40

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Solution

The fourth proportional to 10,579.68, 14,602.82 and 6,598.40 is: 9,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.68 : 14,602.82 = 6,598.40 : x
  2. Step 2: Convert to fraction form
    10,579.68/14,602.82 = 6,598.40/x
  3. Step 3: Cross multiply
    10,579.68x = 14,602.82 × 6,598.40
  4. Step 4: Simplify right side
    10,579.68x = 96,355,141.48
  5. Step 5: Solve for x
    x = 96,355,141.48/10,579.68
  6. Step 6: Final answer
    x = 9,107.57

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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.