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Finding the Fourth Proportional to 12,258.46, 16,916.84 and 6,953.16

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Solution

The fourth proportional to 12,258.46, 16,916.84 and 6,953.16 is: 9,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258.46 : 16,916.84 = 6,953.16 : x
  2. Step 2: Convert to fraction form
    12,258.46/16,916.84 = 6,953.16/x
  3. Step 3: Cross multiply
    12,258.46x = 16,916.84 × 6,953.16
  4. Step 4: Simplify right side
    12,258.46x = 117,625,495.21
  5. Step 5: Solve for x
    x = 117,625,495.21/12,258.46
  6. Step 6: Final answer
    x = 9,595.45

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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.