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Finding the Fourth Proportional to 7,712.06, 10,642.64 and 4,354.71

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Solution

The fourth proportional to 7,712.06, 10,642.64 and 4,354.71 is: 6,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.06 : 10,642.64 = 4,354.71 : x
  2. Step 2: Convert to fraction form
    7,712.06/10,642.64 = 4,354.71/x
  3. Step 3: Cross multiply
    7,712.06x = 10,642.64 × 4,354.71
  4. Step 4: Simplify right side
    7,712.06x = 46,345,633.51
  5. Step 5: Solve for x
    x = 46,345,633.51/7,712.06
  6. Step 6: Final answer
    x = 6,009.50

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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.