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Finding the Fourth Proportional to 7,473.06, 10,313.10 and 4,642.00

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Solution

The fourth proportional to 7,473.06, 10,313.10 and 4,642.00 is: 6,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.06 : 10,313.10 = 4,642.00 : x
  2. Step 2: Convert to fraction form
    7,473.06/10,313.10 = 4,642.00/x
  3. Step 3: Cross multiply
    7,473.06x = 10,313.10 × 4,642.00
  4. Step 4: Simplify right side
    7,473.06x = 47,873,358.63
  5. Step 5: Solve for x
    x = 47,873,358.63/7,473.06
  6. Step 6: Final answer
    x = 6,406.13

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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.