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Finding the Fourth Proportional to 10,646.76, 14,697.70 and 7,307.24

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Solution

The fourth proportional to 10,646.76, 14,697.70 and 7,307.24 is: 10,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.76 : 14,697.70 = 7,307.24 : x
  2. Step 2: Convert to fraction form
    10,646.76/14,697.70 = 7,307.24/x
  3. Step 3: Cross multiply
    10,646.76x = 14,697.70 × 7,307.24
  4. Step 4: Simplify right side
    10,646.76x = 107,399,621.35
  5. Step 5: Solve for x
    x = 107,399,621.35/10,646.76
  6. Step 6: Final answer
    x = 10,087.54

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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.