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Finding the Fourth Proportional to 10,530.84, 14,532.61 and 5,750.89

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Solution

The fourth proportional to 10,530.84, 14,532.61 and 5,750.89 is: 7,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.84 : 14,532.61 = 5,750.89 : x
  2. Step 2: Convert to fraction form
    10,530.84/14,532.61 = 5,750.89/x
  3. Step 3: Cross multiply
    10,530.84x = 14,532.61 × 5,750.89
  4. Step 4: Simplify right side
    10,530.84x = 83,575,390.81
  5. Step 5: Solve for x
    x = 83,575,390.81/10,530.84
  6. Step 6: Final answer
    x = 7,936.25

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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.