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Finding the Fourth Proportional to 10,210.84, 15,295.76 and 4,656.54

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Solution

The fourth proportional to 10,210.84, 15,295.76 and 4,656.54 is: 6,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.84 : 15,295.76 = 4,656.54 : x
  2. Step 2: Convert to fraction form
    10,210.84/15,295.76 = 4,656.54/x
  3. Step 3: Cross multiply
    10,210.84x = 15,295.76 × 4,656.54
  4. Step 4: Simplify right side
    10,210.84x = 71,225,318.27
  5. Step 5: Solve for x
    x = 71,225,318.27/10,210.84
  6. Step 6: Final answer
    x = 6,975.46

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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.