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Finding the Fourth Proportional to 12,058.65, 16,633.57 and 7,970.45

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Solution

The fourth proportional to 12,058.65, 16,633.57 and 7,970.45 is: 10,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.65 : 16,633.57 = 7,970.45 : x
  2. Step 2: Convert to fraction form
    12,058.65/16,633.57 = 7,970.45/x
  3. Step 3: Cross multiply
    12,058.65x = 16,633.57 × 7,970.45
  4. Step 4: Simplify right side
    12,058.65x = 132,577,038.01
  5. Step 5: Solve for x
    x = 132,577,038.01/12,058.65
  6. Step 6: Final answer
    x = 10,994.35

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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.