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Finding the Fourth Proportional to 7,750.02, 10,695.06 and 4,606.14

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Solution

The fourth proportional to 7,750.02, 10,695.06 and 4,606.14 is: 6,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.02 : 10,695.06 = 4,606.14 : x
  2. Step 2: Convert to fraction form
    7,750.02/10,695.06 = 4,606.14/x
  3. Step 3: Cross multiply
    7,750.02x = 10,695.06 × 4,606.14
  4. Step 4: Simplify right side
    7,750.02x = 49,262,943.67
  5. Step 5: Solve for x
    x = 49,262,943.67/7,750.02
  6. Step 6: Final answer
    x = 6,356.49

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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.