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Finding the Fourth Proportional to 10,475.54, 15,709.95 and 4,632.02

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Solution

The fourth proportional to 10,475.54, 15,709.95 and 4,632.02 is: 6,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.54 : 15,709.95 = 4,632.02 : x
  2. Step 2: Convert to fraction form
    10,475.54/15,709.95 = 4,632.02/x
  3. Step 3: Cross multiply
    10,475.54x = 15,709.95 × 4,632.02
  4. Step 4: Simplify right side
    10,475.54x = 72,768,802.60
  5. Step 5: Solve for x
    x = 72,768,802.60/10,475.54
  6. Step 6: Final answer
    x = 6,946.54

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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.