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Finding the Fourth Proportional to 10,460.51, 15,690.76 and 3,064.97

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Solution

The fourth proportional to 10,460.51, 15,690.76 and 3,064.97 is: 4,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.51 : 15,690.76 = 3,064.97 : x
  2. Step 2: Convert to fraction form
    10,460.51/15,690.76 = 3,064.97/x
  3. Step 3: Cross multiply
    10,460.51x = 15,690.76 × 3,064.97
  4. Step 4: Simplify right side
    10,460.51x = 48,091,622.56
  5. Step 5: Solve for x
    x = 48,091,622.56/10,460.51
  6. Step 6: Final answer
    x = 4,597.45

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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.