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Finding the Fourth Proportional to 10,011.84, 13,812.12 and 7,029.68

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Solution

The fourth proportional to 10,011.84, 13,812.12 and 7,029.68 is: 9,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.84 : 13,812.12 = 7,029.68 : x
  2. Step 2: Convert to fraction form
    10,011.84/13,812.12 = 7,029.68/x
  3. Step 3: Cross multiply
    10,011.84x = 13,812.12 × 7,029.68
  4. Step 4: Simplify right side
    10,011.84x = 97,094,783.72
  5. Step 5: Solve for x
    x = 97,094,783.72/10,011.84
  6. Step 6: Final answer
    x = 9,698.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.