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Finding the Fourth Proportional to 7,749.30, 10,695.51 and 4,607.22

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Solution

The fourth proportional to 7,749.30, 10,695.51 and 4,607.22 is: 6,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.30 : 10,695.51 = 4,607.22 : x
  2. Step 2: Convert to fraction form
    7,749.30/10,695.51 = 4,607.22/x
  3. Step 3: Cross multiply
    7,749.30x = 10,695.51 × 4,607.22
  4. Step 4: Simplify right side
    7,749.30x = 49,276,567.58
  5. Step 5: Solve for x
    x = 49,276,567.58/7,749.30
  6. Step 6: Final answer
    x = 6,358.84

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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.