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Finding the Fourth Proportional to 10,746.84, 14,830.64 and 6,031.12

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Solution

The fourth proportional to 10,746.84, 14,830.64 and 6,031.12 is: 8,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.84 : 14,830.64 = 6,031.12 : x
  2. Step 2: Convert to fraction form
    10,746.84/14,830.64 = 6,031.12/x
  3. Step 3: Cross multiply
    10,746.84x = 14,830.64 × 6,031.12
  4. Step 4: Simplify right side
    10,746.84x = 89,445,295.36
  5. Step 5: Solve for x
    x = 89,445,295.36/10,746.84
  6. Step 6: Final answer
    x = 8,322.94

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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.