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Finding the Fourth Proportional to 10,288.48, 15,421.05 and 4,730.34

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Solution

The fourth proportional to 10,288.48, 15,421.05 and 4,730.34 is: 7,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.48 : 15,421.05 = 4,730.34 : x
  2. Step 2: Convert to fraction form
    10,288.48/15,421.05 = 4,730.34/x
  3. Step 3: Cross multiply
    10,288.48x = 15,421.05 × 4,730.34
  4. Step 4: Simplify right side
    10,288.48x = 72,946,809.66
  5. Step 5: Solve for x
    x = 72,946,809.66/10,288.48
  6. Step 6: Final answer
    x = 7,090.14

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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.