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Finding the Fourth Proportional to 6,710.76, 10,051.74 and 6,526.44

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Solution

The fourth proportional to 6,710.76, 10,051.74 and 6,526.44 is: 9,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.76 : 10,051.74 = 6,526.44 : x
  2. Step 2: Convert to fraction form
    6,710.76/10,051.74 = 6,526.44/x
  3. Step 3: Cross multiply
    6,710.76x = 10,051.74 × 6,526.44
  4. Step 4: Simplify right side
    6,710.76x = 65,602,078.01
  5. Step 5: Solve for x
    x = 65,602,078.01/6,710.76
  6. Step 6: Final answer
    x = 9,775.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.