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Finding the Fourth Proportional to 10,424.84, 15,642.40 and 4,878.56

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Solution

The fourth proportional to 10,424.84, 15,642.40 and 4,878.56 is: 7,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.84 : 15,642.40 = 4,878.56 : x
  2. Step 2: Convert to fraction form
    10,424.84/15,642.40 = 4,878.56/x
  3. Step 3: Cross multiply
    10,424.84x = 15,642.40 × 4,878.56
  4. Step 4: Simplify right side
    10,424.84x = 76,312,386.94
  5. Step 5: Solve for x
    x = 76,312,386.94/10,424.84
  6. Step 6: Final answer
    x = 7,320.25

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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.