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Finding the Fourth Proportional to 10,515.34, 14,510.64 and 6,038.74

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Solution

The fourth proportional to 10,515.34, 14,510.64 and 6,038.74 is: 8,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.34 : 14,510.64 = 6,038.74 : x
  2. Step 2: Convert to fraction form
    10,515.34/14,510.64 = 6,038.74/x
  3. Step 3: Cross multiply
    10,515.34x = 14,510.64 × 6,038.74
  4. Step 4: Simplify right side
    10,515.34x = 87,625,982.19
  5. Step 5: Solve for x
    x = 87,625,982.19/10,515.34
  6. Step 6: Final answer
    x = 8,333.16

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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.